{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ea6ca6eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!/usr/bin/env python\n",
    "# coding: utf-8\n",
    "import sys\n",
    "import numpy as np\n",
    "from ase.io.trajectory import TrajectoryWriter,Trajectory\n",
    "from irff.AtomDance import AtomDance\n",
    "from ase.calculators.singlepoint import SinglePointCalculator\n",
    "from ase.io import read,write\n",
    "from ase import units,Atoms\n",
    "from ase.visualize import view\n",
    "from irff.irff_np import IRFF_NP\n",
    "# from irff.tools import deb_energy\n",
    "import matplotlib.pyplot as plt\n",
    "from irff.deb.deb_bde import deb_energy,deb_bo # ,deb_vdw\n",
    "# get_ipython().run_line_magic('matplotlib', 'inline')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd0078e6-7386-433b-a9fa-d9da214728dd",
   "metadata": {},
   "source": [
    "$$\n",
    "BO_{si} = \\exp{\\left (bo_1\\cdot (\\frac{r_{ij}}{r_o^{\\sigma}})^{bo_2}\\right )}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a52701f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-  rcut bo: 2.6595862\n",
      "  0  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.0848 bosi: 0.0009 bopi: 0.0773 bopp: 0.0066 e: -0.000000\n",
      "  1  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.0408 bosi: 0.0018 bopi: 0.0338 bopp: 0.0052 e: -0.000000\n",
      "  2  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.0420 bosi: 0.0029 bopi: 0.0346 bopp: 0.0045 e: -0.000000\n",
      "  3  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.0833 bosi: 0.0044 bopi: 0.0724 bopp: 0.0065 e: -0.000000\n",
      "  4  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.1325 bosi: 0.0086 bopi: 0.1025 bopp: 0.0214 e: -0.000000\n",
      "  5  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.1298 bosi: 0.0093 bopi: 0.0221 bopp: 0.0984 e: -0.000001\n",
      "  6  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.2645 bosi: 0.0060 bopi: 0.0043 bopp: 0.2542 e: -0.000002\n",
      "  7  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.3360 bosi: 0.0062 bopi: 0.0009 bopp: 0.3290 e: -0.000004\n",
      "  8  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.3453 bosi: 0.0120 bopi: 0.0013 bopp: 0.3320 e: -0.000005\n",
      "  9  r: 1.1520 bosi: 0.9888 bopi: 0.8563 bopp: 0.9863 bo0: 2.8313 bo1: 0.3591 bosi: 0.0078 bopi: 0.0184 bopp: 0.3329 e: -0.000005\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = Trajectory('md.traj')\n",
    "deb_bo(images,i=0,j=3,show=True,delta=False,x_distance=True,print_=True,nn=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "49890551-055e-474d-880c-8d1ab5852162",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-  rcut bo: 2.6595862\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "r = 1.0 \n",
    "rmax=2.5\n",
    "while r<rmax:\n",
    "      r += 0.1\n",
    "      atoms = Atoms('CC',\n",
    "                    positions=[(0, 0, 0), (r, 0, 0)],\n",
    "                    cell=[10.0, 10.0, 10.0],\n",
    "                    pbc=[1, 1, 1])\n",
    "      images.append(atoms)\n",
    "deb_bo(images,i=0,j=1,show=True,more=True,x_distance=True,print_=False,nn=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "94e3c451",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "e = deb_energy(images,atomi=0,atomj=3,show=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
